High-dynamic-range analog fiber-optic link using phase modulation and tunable optical filter

ABSTRACT

A cw-laser source transmits low-noise, narrow-linewidth optical power via an optical fiber to a bias-free electro-optic phase modulator at a remote site, where an antenna or an RF sensor is located. The RF electrical signal modulates the phase modulator at the remote site, converting an electrical signal into an optical signal. The phase-modulated optical signal is fed back via the optical fiber to an optical filter whose filter transfer characteristics can be tuned and reconfigured to cancel the intermodulation distortion terms, particularly the dominant 3 rd  order intermodulation, as well as the 2 nd  order. The filtered optical signal is converted to the RF signal at the photodetector. The optical filter is used to effectively “linearize” the signal at the receiver end, rather than at the modulator end.

This application claims the benefit of U.S. Provisional Application No.60/840,220, filed Aug. 24, 2006, which is hereby incorporated byreference in its entirety.

BACKGROUND OF THE INVENTION

Analog RF (Radio Frequency) and microwave Fiber-Optic Links are commonlyused in the transmission of signals from antennas and electrical sensorsfrom remote locations.

The analog RF electrical signal is first converted into optical signalusing an electro-optic modulator. Then the optical signal is transmittedthrough the optical fiber to another location where the optical receiverconverts the optical signal back to an electrical signal.

There are many ways to implement an analog fiber-optic link. One of themost basic analog fiber-optic link employs a laser source, anelectro-optic modulator for converting the electrical signal intooptical signal, optical fibers as the transmission medium and aphoto-detector for converting the optical signal back to an electricalsignal. The electrical signal, with frequencies ranging from DC to >100GHz, can be converted to optical signal using an electro-opticmodulator.

Modulated analog fiber-optic links are widely used. The most commonanalog RF fiber-optic link uses an electro-optic intensity modulator toconvert the electrical signal into an optical signal. There are severaltypes of intensity modulators. The most commonly-employed intensitymodulators for that application are Mach-Zehnder (MZ) Interferometricmodulators, based on lithium niobate (LiNbO₃) electro-optic waveguidetechnology. There is ample literature on this type of analog RF fiberoptic links using MZ modulators.

An MZ interferometric intensity modulator is a simple device in whichthe optical transmission characteristic, as a function of the appliedinput voltage to the device, is in form of a sinusoidal function. Ingeneral, the MZ modulator needs to be biased with a DC voltage to setthe operating point at half-power transmission point of the sinusoidaltransfer function. This half-power operating point is where the opticaltransmission vs. applied voltage is at maximum linearity, and the secondorder derivative is zero. This MZ intensity modulation fiber-optic link,with MZ biased at this half-power point, is commonly used for wideband(multi-octave) RF analog signal transmission.

However, the performance of an MZ-based fiber-optic link is limited byissues associated with the operating point/DC bias voltage stability,which can be affected by many factors including environmental conditionssuch as changes in temperature. If the operating point is not exactly atthe half-power point, the linear transfer characteristic is affected.This will result in degradation in the performance of the fiber-opticlink, particularly the spurious-free dynamic-range, due tointermodulation signal distortion (2^(nd), 3^(rd) order and etc.). Thereis ample literature on this subject.

Since the electro-optic modulator needs to be right at the RF sensor orantenna at the remote site, the modulator is typically subjected togreater temperature variation and other environment factors. A DC biasvoltage is required to be applied to the modulator, and the proper biasvoltage also needs to be adjusted and tracked so that the operatingpoint of the MZ modulator remains at the maximum linearity point. Theneed for the DC bias voltage and tracking electronics means electricalpower is needed at the remote site. This requirement is undesirable formany applications, and tracking electronics can also adversely affectthe performance of the overall fiber-optic link.

In addition, even with the operating point maintained at the half-power,2^(nd) derivative null point, the spurious-free dynamic range of a MZintensity modulated link is still limited by the 3^(rd) orderintermodulation distortion caused by the limited linearity of thesinusoidal transfer function of the MZ modulator. This is typically themain limiting factor in the spurious-free dynamic-range of a MZ-basedanalog fiber-optic link.

In order to achieve higher dynamic-range, another type of modulator withenhanced linearity is required. However, these “enhanced linearity”modulators are very difficult to achieve in practice without someperformance trade-offs. In addition, an enhanced linearity modulatoroften means more complex operating point control and feedbackelectronics. To apply such a device in a remote location has proved tobe difficult and impractical.

Phase-modulated analog fiber-optic links can be used. Instead of using aMZ intensity modulator, a phase modulator and a simple opticaldelay-line filter can be used to construct a bias-free phase-modulatedanalog fiber optic link. The approach is described in literature.

The benefit of such implementation is that the electro-optic phasemodulator does not require any DC bias voltage and, thus, can be placedat the antenna/RF sensor site without the need for any control biaselectronics. The optical delay-line filter can be placed far away fromthe phase modulator via the optical fiber transmission line at thereceiver site. In general, the receiver site can be located anywhere andtherefore can be located in a controlled environment, in contrast to theantenna which is typically in an open environment exposed to variouselements.

It has been shown that the phase modulated link using a phase modulatorand a simple delay-line filter can achieve performance similar to thatof the MZ link, using suitable design parameters as described inliterature. Unfortunately, the spurious-free dynamic-range of thisbias-free phase modulated link using a single delay-line optical filteralso is limited by the 3^(rd) order intermodulation, similar to that ofthe MZ link.

Problems which need solutions continue to exist. This limitation on thespurious-free dynamic range of a typical Analog Fiber-Optic link due tothis 3^(rd) order intermodulation distortion makes the link, based oneither MZ intensity modulation or Phase modulated link with delay-linefilter, not adequate for many higher performance systems, in which muchhigher spurious-free dynamic range is required.

There is a critical need to develop a higher performance Analog RFFiber-optic link that can achieve a much greater dynamic-range, yet issimple to implement and operate.

SUMMARY OF THE INVENTION

The basic concept of this novel high-dynamic-range analog fiber opticlink is to use a bias-free phase modulator at the remote site where theantenna/RF sensor is located. Instead of using a simple opticaldelay-line filter, an optical filter is used with a proper filtercharacteristic in which the intermodulation distortion terms of thephase modulated link are suppressed. The particular, the key limiting3^(rd) order intermodulation term is suppressed, resulting in a muchhigher dynamic-range.

In other words, unlike the conventional approach for achieving enhanceddynamic range by various techniques of “linearizing” the opticalmodulator, the new approach, in effect, is to “linearize” the opticalsignal at the receiver by using the proper optical filter to suppressthe intermodulation distortion terms.

The invention provides a new high-dynamic-range phase-modulatedfiber-optic link with optical filter.

The basic enhanced dynamic-range fiber-optic link invention has acw-laser source that transmits low-noise, narrow-linewidth optical powervia optical fiber to a bias-free electro-optic phase modulator at aremote site, where the antenna or an RF sensor is located. The RFelectrical signal modulates the phase modulator at this remote siteconverting an electrical signal into an optical signal. Thephase-modulated optical signal is fed back via the optical fiber to anoptical filter whose filter transfer characteristics can be tuned andreconfigured to cancel the intermodulation distortion terms(particularly the dominant 3^(rd) order intermodulation, as well as the2^(nd) order). The filtered optical signal is converted to the RF signalat the photodetector. Thus, the optical filter is used to effectively“linearize” the signal at the receiver end, rather than at the modulatorend.

Although, a variety of optical filters with a fixed transfer function orwith very limited reconfigurability can be used, the intermodulationdistortion terms, which limit the spurious-free dynamic-range of thefiber-optic link, can be suppressed only to limited degrees in practice,due to fabrication, and operational tolerance. Imperfect transfercharacteristics of the filter or other devices in the fiber-optic link,as well as the effect of environmental factors such as temperature tothe filter characteristics will limit the level of intermodulationsignals cancellation.

The new preferred method uses a tunable/reconfigurable optical filterwhose filter transfer function can be “reconfigured” and fine-tuned. Inorder to achieve enhancement in the spurious-free-dynamic-range, theintermodulation terms (such as the 2^(nd), 3^(rd), and etc.) must besuppressed to a very high level of accuracy.

This is the reason why a tunable/reconfigurable optical filter is thekey to achieve high spurious-free dynamic-range, since the filtercharacteristics can be fine-tuned to achieve deep cancellation of theintermodulation signals. In addition, it allows theadjustment/reconfiguration of the filter function to compensate for theever-changing of the link parameters due to environmental or othereffects to keep maintaining deep cancellation of the intermodulationdistortion terms.

There are many optical filter designs (Febry Perot, transversal filter,and etc.) that may allow one to achieve higher dynamic-range than thatof a simple sinusoidal delay-line filter which limits the dynamic rangeof the fiber-optic link by the 3^(rd) order intermodulation. However,the new preferred tunable/reconfigurable optical filter is based onmulti-stage optical delay-line filters whose filter transfer functionscan be reconfigured and continuously fine-tuned, owing to its simplicityof design, fabrication and great flexibility of tunability andreconfigurability.

The new preferred tunable/reconfigurable multi-stage optical delay-linefilter has filter transfer characteristics that can be represented bythe Fourier series transform.

The most basic filter design is a 2-stage optical delay-line filter, inwhich essentially, two simple single-stage delay-line filters areinterconnected in series. One filter stage has a differential delay-linetwice as long as the other stage. One of the implementations is a2-stage reconfigurable optical filter.

A reconfigurable 2-stage optical delay-line filter device can beimplemented in form of a singlemode optical waveguide circuit. The basicdevice has three tunable 2×2 directional coupler waveguides that areinterconnected via two pairs of differential optical delay-linewaveguide pairs with differential optical delays of ΔL and 2ΔL. Both ofthese differential waveguide delay-line pairs has differential phaseshifters.

This reconfigurable filter can be fabricated in many forms such asall-in-fibers, with mechanical or thermo-optic means to tune the fibercouplers and the differential phase shifters. It can also be fabricatedin integrated optical waveguide circuit such as silica or siliconwaveguides on a substrate with thermo-optic or mechanical-stress, forexample, tuning elements to tune the directional couplers and thedifferential phase shifters.

It can also be fabricated on electro-optic material such as lithiumniobate, electro-optic polymer, or semiconductor material. Whenimplementing on linear electro-optic material such as lithium niobate, avery low-loss optical waveguide circuit can be made to form a completereconfigurable filter.

Since very high-speed electro-optic effect can be used, this allows theconstruction and use of very-high-speed (subnanoseconds)tuning/reconfiguration of such optical filter.

Such a basic two-stage filter has a filter transfer function thatresembles truncated Fourier series expansion, in form ofa₀+a₁F(ω)+a₂F(2ω)+a₃F(3ω), where a_(n) . . . are the Fouriercoefficients for the n^(th) Fourier term. The Fourier coefficients aretunable and are related to the tunable couplers and the differentialphase tuner settings. By tuning the couplers and the differential phaseshifters, the corresponding Fourier coefficients can be adjusted. Andthus the filter function can be synthesized using the Fourier seriestransform function, and the filter can be dynamically reconfigured bysimply adjusting the electro-optically tunable directional coupler andphase shifter sections.

Since this type of filters have additional higher order Fourier seriesfilter terms, whose coefficients can be adjusted, one can reconfigurethis filter to effectively cancel the 2^(nd) and 3^(rd) orderintermodulation term to enhance the overall spurious-free dynamic-rangeof the RF fiber-optic link. The important 3^(rd) order intermodulationsignal cancellation by fine-tuning the filter fabricated on lithiumniobate substrate has been successfully demonstrated by adjusting thevoltages applied to the phase shifters and the directional couplers toeffectively cancel the 3^(rd) order intermodulation. With the 3^(rd)order intermodulation distortion term cancellation, the dynamic range ofthe fiber optic link is no longer limited by the 3^(rd) orderdistortion, and thus yielding an enhancement in the overall dynamicrange of the fiber-optic link.

Fine/continuous high-speed electro-optical tunability is one of the keysto achieve deep intermodulation signal cancellation to achieve thehighest dynamic-range. Higher order Fourier filter terms can be added bysimply adding additional stages to the filter to cancel the 4^(th),5^(th) order and etc. to achieve the ultimate in spurious-free highdynamic range.

The physical size and insertion loss of the optical filter depends onthe size of the differential delay-lines. Since the differentialdelay-line length is directly linked to the RF/Microwave signals thatneed to be transmitted, the higher the RF frequency, the shorter opticaldelay-line section need to be. And thus, this type of filter is morecompact, lower-loss and easier to build at higher and higher frequencies(microwave to millimeter wave). Higher-dynamic-range analog links areactually easier using this invention when the RF frequency is higher.This is quite unique, since most other techniques are generally muchmore difficult as the RF frequency goes up to 10, 20, 40, 60 GHz, andetc. This invention allows the realization of a very-high-frequencies(microwave-millimeter-wave frequencies) Analog fiber-optic link withenhanced dynamic-range. This is very significant, since electricaltransmission line at these high frequencies are extremely high loss andare no longer practical for any long distance transmission. This type ofhigh-dynamic-range analog fiber-optic transmission opens up new systemarchitecture for these microwave/mm-wave frequencies systems.

Tunable/reconfigurable multi-stage optical delay-line filters designsare described herein. There are several possible variations in the exactimplementation of the reconfigurable multi-stage delay-line filters, forexample, a simple three-stage tunable filter with three stages ofdifferential delay lines of length ΔL₁, ΔL₂, ΔL₃. The relationshipsbetween ΔL₁, ΔL₂, ΔL₃ do not have to be multiples of each other. Otherrelations will yield a different optical filter which may be suitablefor more specific applications. The filter function of such filter isfairly simple to calculate. More device stages can be added to yieldmore complex filter functions.

In addition, other configurations are possible. For example, thedirectional coupler can be replaced by a 1×2 Y-junction splitter, andbetween device stages, one of the directional coupler outputs may nothave to be connected to the latter stage. This will yield a differentfilter function which may be useful of specific applications.

These and further and other objects and features of the invention areapparent in the disclosure, which includes the above and ongoing writtenspecification, with the claims and the drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows the enhanced dynamic-range phase-modulated RF fiber-opticlink using reconfigurable optical filter to effectively linearize thelink at the receiver, rather than at the modulator end.

FIG. 2 shows a dual-stage reconfigurable filter implemented in form ofoptical waveguiding circuit on such material as electro-optic lithiumniobate substrate.

FIG. 3 shows an example of a three-stage reconfigurable filter.

FIG. 4 shows an example of reconfigurable multi-stage filter withvariation in the use of directional couplers between stages.

FIG. 5 shows electro-optic reconfigurable optical filter (with higherorder terms) used to linearize the phase modulated link, cancellingintermods.

FIG. 6 shows two-stage Fourier filters with sinusoidal filter responseas a function of optical frequency.

FIG. 7 shows two-stage Fourier filters reconfigured with sinusoidalfilter with ½ period.

FIG. 8 shows two-stage Fourier filters reconfigured with sinusoidalfilter with ⅓ period.

FIG. 9 shows sample of basic Fourier-synthesized optical filter transferfunctions with basic sinusoidal filter function.

FIG. 10 shows sample of basic Fourier-synthesized optical filtertransfer functions with a flat-top filter response with stopbands.

FIG. 11 shows sample of basic Fourier-synthesized optical filtertransfer functions with a linear triangular filter function.

FIG. 12 shows reconfigurable dual-stage delay-line filter hybridLiNbO₃/fiber-delays structure.

FIG. 13 shows reconfigurable dual-stage delay-line filter hybridLiNbO₃/Silica on Silicon (“SOS”) waveguide structure.

FIG. 14 shows reconfigurable dual-stage delay-line filter all-LiNbO₃structure.

FIG. 15 shows an actual fabricated hybrid LiNbo₃/SOS dual-stage Fourierfilter schematically shown in FIG. 13.

FIG. 16 shows a schematic of an independent dual-stage Fourier filter.

FIG. 17 shows two independent dual-stage Fourier filters with upperchannel and lower channel integration.

FIG. 18 shows the two independent dual-stage Fourier filters in anactual assembly, fabricated in an all-LiNbO₃ structure.

FIGS. 19 shows signals from a phase-modulated link with a dual-stagefilter, associated spectrums with poor 3^(rd) order intermods.

FIG. 20 shows intermod spectrum with intermediately lower 3^(rd) orderintermods when the filter is tuned to an arbitrary setting.

FIG. 21 shows how a reconfigurable dual-stage Fourir filter candramatically change the 3^(rd) order intermods by >40 dB, correspondingto >20 dB improvement over standard MZ link. It shows results of a finetune via loss-less electro-optical effect, allowing precise/deep signalcancellation.

DETAILED DESCRIPTION OF THE INVENTION

This novel high-dynamic-range analog fiber optic link 10 shown in FIG. 1has a bias-free phase modulator 21 at the remote site 19, where theantenna 23 or RF sensor is located. Instead of using a simple opticaldelay-line filter, an optical filter 29 is used with a proper filtercharacteristic is used in which the intermodulation distortion terms ofthe phase modulated link are suppressed. The particular, the keylimiting 3^(rd) order intermodulation term is suppressed, resulting in amuch higher dynamic-range.

Unlike the conventional approach for achieving enhanced dynamic range byvarious techniques of linearizing the optical modulator, the newapproach of the invention, in effect, is to linearize the optical signalat the receiver by using the proper optical filter to suppress theintermodulation distortion terms.

FIG. 1 schematically shows the new enhanced dynamic-rangephase-modulated RF fiber-optic link using reconfigurable optical filterto effectively linearize the link at the receiver, rather than at themodulator end.

The basic high-dynamic-range phase-modulated fiber-optic link withoptical filter is illustrated in the FIG. 1. The basic enhanceddynamic-range fiber-optic link 10 has a cw-laser source 11 in anelectronics bay 15 that transmits low-noise, narrow-linewidth opticalpower via optical fiber 17 to a bias-free electro-optic phase modulator21 at a remote site 19, where the antenna 23 or an RF sensor is located.The RF electrical signal 25 modulates the phase modulator 21 at thisremote site 19, converting an electrical signals into an opticalsignals. The phase-modulated optical signal is fed back via the opticalfiber to an optical filter 29, whose filter transfer characteristics aretuned and reconfigured to cancel the intermodulation distortion terms,particularly the dominant 3^(rd) order intermodulation, as well as the2^(nd) order. The filtered optical signal 31 is converted to the RFsignal 33 at the photodetector 35. Thus, the optical filter is used toeffectively linearize the signal at the receiver end rather than at themodulator end 39.

Although, a variety of optical filters with a fixed transfer function orwith very limited reconfigurability can be used, the intermodulationdistortion terms, which limit the spurious-free dynamic-range of thefiber-optic link, can be suppressed only to limited degrees in practice,due to fabrication, and operational tolerance. Imperfect transfercharacteristics of the filter or other devices in the fiber-optic link,as well as the effect of environmental factors such as temperature tothe filter characteristics will limit the level of intermodulationsignals cancellation.

The new preferred method of the invention is to use atunable/reconfigurable optical filter 29 whose filter transfer functioncan be reconfigured and fine-tuned. In order to achieve enhancement inthe spurious-free-dynamic-range, the intermodulation terms (such as the2^(nd), 3^(rd), and etc.) must be suppressed to a very high level ofaccuracy.

This is the reason why a tunable/reconfigurable optical filter is thekey to achieve high spurious-free dynamic-range, since the filtercharacteristics can be fine-tuned to achieve deep cancellation of theintermodulation signals. In addition, it allows theadjustment/reconfiguration of the filter function to compensate for theever-changing of the link parameters due to environmental or othereffects to keep maintaining deep cancellation of the intermodulationdistortion terms.

There are many optical filter designs (Febry Perot, transversal filter,etc.) that may allow achieving a higher dynamic-range than that of asimple sinusoidal delay-line filter which limits the dynamic range ofthe fiber-optic link by the 3^(rd) order intermodulation. However, thepreferred tunable/reconfigurable optical filter is based on multi-stageoptical delay-line filters whose filter transfer functions can bereconfigured and continuously fine-tuned, owing to simplicity of design,fabrication and great flexibility of tunability and reconfigurability.

The preferred tunable/reconfigurable multi-stage optical delay-linefilter has filter transfer characteristics that can be represented bythe Fourier series transform.

This invention provides high-dynamic-range fiber-optic links and a newtechnique for using high-dynamic-range RF fiber-optic links thatexploits the Fourier filter concept. The new technique employs abias-free phase modulator at the remote antenna site and areconfigurable filter at the receiver end.

Unlike more conventional approaches for enhancing dynamic-range byvarious techniques for linearizing the optical modulator, the newapproach is the linearize the optical demodulator function at thereceiver instead, using this reconfigurable filter. The newphase-modulator fiber-optic link provides improved fiber-optic linktransfer characteristic controlled by adjusting the ΔPhase andΔFrequency of each of the filter stage. For example, the i-th delaystage is provided by adjusting Δφ and Δf. The new system provides biasat quadrature for >Octave (2^(nd) harmonic nulls) and provides enhancedlinearity by constructing filter function with 3^(rd), 4^(th), 5^(th),etc. nulls. Since the device transfer function takes on truncatedFourier series expansion terms, more stages give more higher order termconnections. Only two or three stages are required to give the improvedresults. More may be used. Non-linear (higher order) terms cancellationemploys precise signal amplitude/phase. Lossless linear electro-optictuning of Fourier series coefficients is a key to achieving maximumlinearity. The system expands received signals in terms of Fouriercoefficients to the first few orders. Depending on the number of stages,Fourier coefficients can be tuned to match the exact required functionfor maximum linearity.

Enhanced dynamic-range phase-modulator RF fiber-optic link using areconfigurable optical filter allows a completely maintenance-freeoptical phase modulator at a remote antenna site, without the need for adc bias voltage to the phase modulator. This means the phase modulatorcan be placed in a harsh environment, e.g., the full militaryspecifications of temperature range, without compromising the signalconversion fidelity. The optical filter at the receiver site, operatedas an optical demodulator, can be reconfigured to effectively linearizethe output response function to achieve higher spur-free dynamic range.There are several modes of operation for such a phasemodulator/reconfigurable filter.

The most basic filter construction is a two-stage optical delay-linefilter 40, in which essentially, two simple single-stage delay-linefilters P1 and P2 are interconnected in series. One filter stage P2 hasa differential delay-line twice as long as the other stage P1. One ofthe implementation of a two-stage reconfigurable optical filter 40 isshown in FIG. 2.

FIG. 2 is a schematic representation of a dual-stage reconfigurablefilter implemented in form of optical waveguiding circuit on suchmaterial as electro-optic lithium niobate substrate. A reconfigurable2-stage optical delay-line filter device 40 is implemented in thisembodiment in the form of a single mode optical waveguide circuit asshown.

This reconfigurable two-stage tunable optical delay-line filter 40consists of 2 unequal-length optical waveguide pairs P1 and P2interconnected to each other via 3 tunable 2×2 waveguide directionalcouplers 45, 47, 49 (labeled as a, b and c in FIG. 2). The firstwaveguide pair consists of a lower-branch waveguide 51 and anupper-branch 52, shown as curve-waveguide. There is an optical waveguidepath difference [path(52)−path(51)]=ΔL₁=ΔL, between the two waveguidepaths in this 1st section between the first two tunable directionalcouplers 45 and 47.

The relative optical phase difference between lightwaves propagatingthrough the two waveguide paths 51 and 52 can be fine-tuned. If thedevices are made on electro-optic waveguide material such as lithiumniobate, electrode 41 can be integrated to the waveguides on one or bothof the waveguide pair 51, 52 to change the relative phase of lightbetween the two paths. The 2×2 tunable couplers 45, 47, 49 can also befine tuned via electro-optic effect, when electrodes are integrated onthe couplers.

The 2nd waveguide pair consists of a lower-branch waveguide 53 and anupper-branch 54, shown as a curve-waveguide. There is an opticalwaveguide path difference [path(54)−path(53)]=ΔL₂=2ΔL, between the twowaveguide paths in this 2nd section between the last two tunabledirectional couplers 47 and 49.

Note that in this specific case, the 2nd differential delay ΔL₂ of the2nd section is twice that of the differential delay ΔL₁ of the 1stsection. ΔL₂=2ΔL₁=2ΔL. However, in general, ΔL₂ can be some other valueand does not have to be twice as long as ΔL₁.

Because the filter is fabricated on an electro-optic material, all ofthe relative optical phases in each differential delay-line filtersection can be rapidly tuned by applying voltages, via electro-opticinteraction. All the directional couplers can be similarly tuned byapplying voltages. These features provide high-speed continuousfine-tuning capability, enabling rapid and accurate reconfigurability ofthe overall optical filter. This capability is used to achieveintermodulation signals cancellation of the overall phase modulatedfiber-optic link, enabling the overall link to achieve extendedspurious-free dynamic-range.

This reconfigurable filter 40 can be fabricated in many forms such asall-in-fibers, with mechanical or thermo-optic means to tune the fibercouplers 45, 47, 49 and the differential phase shifters 41, 43. It canalso be fabricated in integrated optical waveguide circuit such assilica or silicon waveguides on a substrate with thermo-optic,mechanical or other stress tuning elements to tune the directionalcouplers and the differential phase shifters.

It can also be fabricated on electro-optic material such as lithiumniobate, electro-optic polymer, or semiconductor material. Whenimplementing on linear electro-optic material such as lithium niobate, avery low-loss optical waveguide circuit can be made to form a completereconfigurable filter.

Since very high-speed electro-optic effect can be used, this allows theconstruction and use of very-high-speed (subnanoseconds)tuning/reconfiguration of such optical filter.

Such a basic 2-stage tunable/reconfigurable filter has a filter transferfunction that resembles truncated Fourier series expansion, in form ofa₀+a₁F(ω)+a₂F(2ω)+a₃F(3ω), where a_(n) . . . are the Fouriercoefficients for the n^(th) Fourier term. The Fourier coefficients aretunable and are related to the tunable couplers and the differentialphase tuner settings. By tuning the couplers and the differential phaseshifters, the corresponding Fourier coefficients can be adjusted. Thus,the filter function can be synthesized using the Fourier seriestransform function, and the filter can be dynamically reconfigured bysimply adjusting the electro-optically tunable directional coupler andphase shifter sections.

Since this new type of tunable/reconfigurable filters has additionalhigher order Fourier series filter terms, coefficients can be adjusted.One can reconfigure this new filter to effectively cancel the 2^(nd) and3^(rd) order intermodulation term to enhance the overall spurious-freedynamic-range of the RF fiber-optic link. The invention provides theimportant 3^(rd) order intermodulation signal cancellation byfine-tuning the filter fabricated on lithium niobate substrate has beensuccessfully demonstrated by adjusting the voltages applied to the phaseshifters and the directional couplers to effectively cancel the 3^(rd)order intermodulation. With the 3^(rd) order intermodulation distortionterm cancellation, the dynamic range of the fiber optic link is nolonger limited by the 3^(rd) order distortion, thus yielding anenhancement in the overall dynamic range of the new fiber-optic link.

Fine/continuous high-speed electro-optical tunability is one of the keysto achieve deep intermodulation signal cancellation to achieve thehighest dynamic-range. Higher order Fourier filter terms can be added bysimply adding additional stages to the filter to cancel the 4^(th),5^(th) order, etc. to achieve the ultimate in spurious-free high dynamicrange.

The physical size and insertion loss of the new optical filter dependson the size of the differential delay-lines. Since the differentialdelay-line length is directly linked to the RF/Microwave signals thatneeded to be transmitted, the higher the RF frequency, the shorteroptical delay-line section needs to be. Thus, this new type of filter ismore compact, lower-loss and easier to build at higher and higherfrequencies (microwave to millimeter wave). Higher-dynamic-range analoglinks are actually actually easier using the new technique based on thisinventions when the RF frequency is higher. This is quite unique, sincemost other techniques are generally much more difficult as the RFfrequency goes up to 10,20, 40, 60 GHz, and etc. This invention allowsthe realization of a very-high-frequencies (microwave-millimeter-wavefrequencies) and analog fiber-optic links with enhanced dynamic-range.This is very significant, since electrical transmission lines at thesehigh frequencies are extremely high loss and are no longer practical forany long distance transmission. This new type of high-dynamic-rangeanalog fiber-optic transmission opens up new system architecture forthese microwave/mm-wave frequency systems.

The new tunable/reconfigurable multi-stage optical delay-linefilterconstructions have several possible variations in the exactimplementation of the reconfigurable multi-stage delay-line filters.FIG. 3 shows a simple 3-stage tunable filter 60 with three stages ofdifferential delay connected by lines of length ΔL₁, ΔL₂, ΔL₃. Therelationship between ΔL₁, ΔL₂, ΔL₃ do not have to be multiples of eachother. Other relation will yield different optical filters which may besuitable for more specific applications. The filter function of suchfilter is fairly simple to calculate.

FIG. 3 is a schematic representation showing an example of a 3-stagereconfigurable filter with four directional waveguide couplers 71, 73,75 and 77.

This 3-stage tunable filter consists of 3 unequal-length opticalwaveguide pairs, interconnected to each other via four tunable 2×2waveguide directional couplers 71, 73, 75, 77. The first waveguide pairconsists of a lower-branch waveguide 72 and an upper-branch 62, shown ascurve-waveguide. There is an optical waveguide path difference[path(62)−path(72)]=ΔL₁, between the two waveguide paths in this firstsection between the first two tunable directional couplers 71 and 73.

The relative optical phase difference between lightwaves propagatingthrough the two waveguide paths 72 and 62 can be fine-tuned. If thedevices are made on electro-optic waveguide material such as lithiumniobate, the electrodes 61, 63, 65 can be integrated to the waveguideson one or both of the waveguide pair 72, 62 to change the relative phaseof light between the two paths. The 2×2 tunable couplers 71, 73, 75, 77can also be fine-tuned via electro-optic effect, when electrodes areintegrated on the couplers.

Similarly, the 2nd and 3rd of the unequal-length waveguide pairs willhave the similar difference in optical path length of ΔL₂ and ΔL₃,respectively. All of the relative phases of the three differentialdelay-line section can be fine-tuned electro-optically, when the deviceis fabricated on an electro-optic material. Similarly, all thedirectional couplers 71, 73, 75, 77 can be fine-tuned electro-opticallyby applying appropriate voltages.

More device stages can be added to yield more complex filter functions.

In addition, other configurations are possible. For example, thedirectional coupler can be replaced by a 1×2 Y-junction splitter 91, andbetween device stages, one of the directional coupler outputs may nothave to be connected to the latter stage as shown in FIG. 4. This willyield a different filter function which may be useful of specificapplications.

FIG. 4 is a schematic representation showing an example ofreconfigurable multi-stage filter with variation in the use ofdirectional couplers between stages.

FIG. 4 shows a tunable/reconfigurable filter 80 with two stages 81, 83of differential delay lines. A Y-junction splitter 91 feeds input 90 tostage 81 and to directional coupler 93. Directional coupler 93 feedsstage 83. Coupler 95 connects input to outputs 3 and 4. A separateoutput 5 is connected to stage 81.

The high-dynamic-range phase-modulated analog fiber-optic link withtunable optical filter of this invention provides many benefits.

It is practical to implement. Only the bias-free, maintenance-freeoptical phase modulator is needed to be placed at the antenna/RF sensorsat the remote site in harsh environment. All the rest of the link,including laser, tunable optical filter and photodetector can be placedfar away in controlled environment via low-loss optical fiber. Since,wideband electro-optic phase modulators such as those based on lithiumniobate are capable of withstanding extremely wide temperatures, andwithout the need of maintaining DC operating point and DC bias voltage,this make this new analog fiber-optic link very practical to beimplemented in real world operations.

Benefits of this invention achieves greatly enhanced dynamic range.Since the tunable/reconfigurable optical filter can be used to achievedeep cancellation of the uintermodulation distortion terms, much higheroverall spurious-free dynamic-range can be achieved. And since theoptical filter can be placed in a more controlled environment in frontof the photodetector, this will greatly simplify the operation of thefilter.

Benefits of this invention provides high-speed operation of the filter.Since the optical element of the tunable/reconfigurable optical filtercan be implemented in electro-optic material, this means the opticalfilter can be tuned/reconfigured at very rapid rate in nanoseconds. Thefilter is fast enough to rapidly track and is adapted to any change inthe environment.

Tunable/reconfigurable optical filter is based on multi-stage opticaldelay-line filter architecture and is simple to build. In addition, thesize of the optical filter device depends on the differential delay-linesections of the filter, which in turn, depends on the RF signalfrequency range of interest. The higher the RF frequency, the shorterthe differential optical delay lines need to be. This means that at highmicrowave frequency, the new tunable filter device is much smaller andhas lower loss. The intermodulation distortion terms cancellation ispractically independent of the RF frequencies. This means that highdynamic-range analog fiber-optic link may operate even easier at higherand higher frequencies using this technique.

The cancellation of the intermodulation signals using this technique isdone in the optical domain, via the use of phase modulator andtunable/reconfigurable optical filters. All electronic controls for thetunable elements (directional couplers and phase shifters) of thetunable optical filter are at relatively low frequencies and are not atthe RF frequencies of the signal itself. The electronic controls onlyhave to be fast enough to control and track the changes in theenvironment which may affect the intermodal signal cancellation of theoverall links. Megahertz ranges of response should be more than adequatefor most applications. Therefore, this technique is very practical to beapplied to very high frequency (microwave and mm-wave) fiber-optic linkswithout the need for any microwave/mm-wave frequency electronics.

This invention allows the realization of very-high-frequency(microwave-millimeter-wave frequencies) analog fiber-optic links withenhanced dynamic-range. This is very significant, since electricaltransmission line at these high frequencies are extremely high loss andare no longer practical for any long distance transmission. This newtype of high-dynamic-range analog fiber-optic transmission should openup new system architecture for these microwave/mm-wave frequencysystems.

The present invention provides practical Extremely High Frequencies(“EHF”) RF fiber-optic links with bias-free phase modulated RFfiber-optic links. Reconfigurable filters are a key component forlinearization with dual-stage reconfigurable filter devices intermodalcancellation results.

The invention provides RF fiber-optic links at high RF frequencies. Atlower RF frequencies, non-fiber solutions exist. Fiber-optic links needlower electro-optical conversion loss, higher dynamic-range with someenhanced linearity techniques and practical and reliable linkimplementation. At higher RF frequencies, all-electronic solutions aredifficult. High-dynamic-range fiber-optic links cause electro-opticalconversion loss and make linearization techniques more difficult.

The present invention provides new optical techniques and enablingelectro-optical components for high-dynamic-ranges in RF fiber-opticlinks at high-frequencies, 10-90+ GHz.

The present invention provides a new RF fiber-optic link that issuitable for real-world harsh environment (large±Δ Temperature)operation.

The present invention provides Analog Optical Signal Processing (“AOSP”)techniques that are scalable to extremely high RF frequencies and aresimpler at higher and higher RF frequencies.

The invention is simple and practical to implement with high-precisiontunable/reconfigurable AOSP linearization element, with no need forhigh-frequency RF electronics.

The invention provides a new phase-modulated RF fiber-optic link withtruly-bias-free linear electro-optical phase modulator at remote site inharsh environment, and optical filter in the electronic bay fordemodulation.

A dynamically-reconfigurable optical filter is used as the AOSP toeffectively linearize the signal at the receiver, rather than at themodulator.

The invention uses a simple multi-storage optical delay-line filterwhich has a transfer function like that of a programmable Fourier Seriesfilter.

The invention provides deep cancellation of intermods to achievehigh-dynamic-range via high precision, loss-less linear/continuouselectro-optical tuning.

The simple AOSP component implementation is scalable to extremely highRF frequencies.

The invention provides a high-dynamic-range RF fiber-optic link that ispractical to be deployed in actual harsh military environments ofextreme temperature ranges with maintenance-free, bias-freeelectro-optical converters scalable to high RF frequencies. Thefiber-optic link transfer characteristic is controlled by adjusting therelative ΔPhase and ΔFrequency 100 of each of the filter stage as shownin FIG. 5 101, 103, 105.

The RF signal is converted to an optical signal at the remote antennasite using linear electro-optic phase modulator, completelymaintenance-free in extreme Mil-spec temperature environments.

Perfect linear RF to optical signal mapping is provided, with all of theoriginal signal characteristics preserved and transmitted back to theremote receiver 15.

High-dynamic-range is achieved by advanced optical signal processing atthe receiver 15, using a dynamic reconfigurable Fourier optical filter110 whose characteristics can be systematically synthesized and veryprecisely tuned to achieve a very high degree of linearity.

The invention provides a multi-stage optical delay-line filter withelectro-optical tunable element, with reconfigurable Fourier seriestransfer function, providing higher order terms used for intermodcancellation. Other optical filters with the proper transfer functionwith suitable higher order terms can also be used.

By adjusting the couplers, a, b and c, and the tunable phase shifter P1,P2 in FIG. 2, one can reconfigure the filter with different periods 120,130, 140 as shown in linear scale 121 and log scale 123 in FIGS. 6, 7and 8.

The output function takes on the form of a truncated Fourier series:a₀+a₁.F₁.(ω)+a₂.F₂(2ω)+a₃.F₃(3ω).

When implemented in electro-optic material such as LiNbO₃, the transferfunction can be systematically synthesized using powerful Fourier seriestransform, a natural/fundamental signal processing function. The Fouriercoefficients can be controlled by simply tuning the directional couplersa, b, c. The Phase can be changed (both positive and negative) by tuningthe phase tuners P1, P2 in FIG. 2. Filter characteristics can bedynamically reconfigured at high-speed.

The electro-optically tunable/reconfigurable two-stage Fourier seriesfilter 40 shown in FIG. 2 uses the Fourier transform:a₀+a₁.F₁.(ω)+a₂.F₂(2ω)+a₃.F₃(3ω).

The Fourier coefficients can be electro-optically controlled veryprecisely. These additional high-order Fourier terms can be used toeffectively cancel the 3^(rd) order intermod term that typically limitsthe dynamic-range of the fiber-optic link.

The loss-less linear electro-optic effects allow very fine and preciseadjustment, critical to achieve deep signal cancellation.

More Fourier terms can be added by simply adding additional stages tocancel higher order intermod terms.

Samples of basic Fourier-synthesized optical filter transfer functionsare shown in FIGS. 9, 10, 11 as basic sinusoidal filter function 150,flat-top filter response 160 with stopbands, and linear triangularfilter function 170.

FIGS. 12, 13, 14 show three possible physical implementations of amulti-stage tunable/reconfigurable filter 220, 230, 240, i.e. (a) HybridLiNbO₃/fiber delay-line structure, (b) Hybrid LiNbO₃/silica or siliconwaveguide structure, and (c) All LiNbO₃ integrated waveguide structure.Note that, in general, other electro-optic waveguide material can beused in place of LiNbO₃, and other low-loss waveguide delay-line canalso be used in place of fiber optic, or silica or LiNbO₃ waveguidedelay-line structures.

a) Hybrid LiNbO₃/fiber delay-line reconfigurable filter structures 220are shown in FIG. 12. They consist of electro-optically active phasetuners and tunable directional couplers fabricated on an electro-opticalchip 213 such as lithium niobate and the unequal optical waveguidedelay-line sections 225, fabricated using low-loss unequal-lengthoptical fiber differential delay-line pairs 223 comprising opticalfibers 222. The overall devices are interconnected and assembled asshown in FIG. 12.

b) Hybrid LiNbO₃/low-loss integrated waveguide delay-line reconfigurablefilter structures 230 are shown in FIG. 13. They consist ofelectro-optically active phase tuners and tunable directional couplersfabricated on an electro-optical chip 213 such as lithium niobate andunequal optical waveguide delay-line chip 227, other fabricatedsubstrate such as low-loss silicon or SOS waveguide circuit 223comprising SOS waveguides 224. The overall devices are interconnectedand assembled as shown in FIG. 13.

c) All-LiNbO₃ low-loss integrated waveguide delay-line reconfigurablefilter structures 240 are shown in FIG. 14. They consist ofelectro-optically active phase tuners and tunable directional couplersand all the optical waveguide delay-line pairs, fabricated onelectro-optical material (such as lithium niobate, etc.) The overalldevice is shown in FIG. 14.

FIG. 15 shows a hybrid LiNbo₃ /SOS dual-stage Fourier filterschematically shown in FIG. 13. The actual LiNbo₃ waveguide 200 haslower loss than SOS waveguide.

All LINbo₃ dual-stage Fourier filters are shown in FIGS. 16, 17, 18.

FIG. 16 shows a schematic of an independent dual-stage Fourier filter.

FIG. 17 shows a schematic of two independent dual-stage Fourier filterswith upper channel and lower channel, integrated on the same structure.

FIG. 18 shows the two independent dual-stage Fourier filters in anactual assembly.

FIGS. 19, 20, 21 show signals from a phase-modulated link with adual-stage filter. The RF spectrum is shown with different Filtersettings. FIG. 19 shows associated spectrums with poor 3^(rd) orderintermods 251 compared with fundamental signals 252.

FIG. 20 shows an intermod spectrum with intermediately lower 3^(rd)order intermods 255, when the filter is tuned to another arbitrarysetting, compared with fundamental signals 256.

FIG. 21 shows how a reconfigurable dual-stage Fourier filter candramatically change the 3^(rd) order intermods 257 by >40 dB,corresponding to >20 dB improvement over standard MZ link, when thefilter is a fine tuned via loss-less electro-optical effect, allowingprecise/deep signal cancellation, and fundamental signals 258.

Unlike other approaches, the high-dynamic-range is achieved not bylinearization of the modulator itself, but by linearizing and intermodcancelling of the received signal remote from the modulator, using areconfigurable filter as the key analog optical signal processor.

Fourier filter characteristics can be systematically synthesized andvery precisely tuned to achieve very high degree of linearity.

The invention is even more effective at higher RF frequencies. Areconfigurable filter requires no high frequency electronics. Delay-linefilters at higher frequencies require shorter delay-lines, which meansmore compact, and lower-loss filters can be made.

The invention provides a new high-dynamic-range, high frequency RFfiber-optic link that makes it practical to implement in real worldenvironment with extreme temperature range with maintenance free, biasfree passive phase modulators.

The invention provides electro-optical components for high-dynamic-rangeRF fiber-optic links at high frequencies 10 G-90+GHz and an RFfiber-optic link that is suitable for operation in real-world harshenvironments with large temperature changes.

The new optical linearization technique and electro-optical componentsachieve enhanced spur-free high-dynamic-ranges.

The invention is practical to implement with high-precisiontunable/reconfigurable linearization element, with no need for difficulthigh-frequency RF electronics.

Implementation is provided at extremely high RF frequencies of 40, 60,90 GHz in simpler, more compact, lower loss monolithic two-to-threestage delay-line filters for high RF frequencies.

Develop and incorporate the next generation of ultra-low Vpihigh-frequency phase modulators using the invention to incorporatehigh-speed electro-optical polarization controllers, replacing longphase modulator fibers with ordinary single mode fiber.

While the invention has been described with reference to specificembodiments, modification and variations of the invention may beconstructed without departing from the scope of the invention, which isdefined in the following claims.

1. A method of using a fiber optic link, comprising: providing a remotesite; providing an antenna at the remote site; providing a phasemodulator at the remote site; receiving radio frequency signals with theantenna; providing the radio frequency signals from the antenna to thephase modulator at the remote site; providing an electronics bay at adistance from the remote site; providing a receiver in the electronicsbay; providing a laser; providing a first optical fiber between thelaser and the phase modulator; providing an optical filter at thereceiver in the electronics bay; providing a photodetector at thereceiver in the electronics bay; directing light from the laser into andthrough the first optical fiber to the phase modulator at the remotesite; providing a second optical fiber between the remote site and thereceiver; phase modulating the light by the radio frequency signals fromthe antenna; transmitting the phase modulated light from the phasemodulator directly to the optical filter through the second opticalfiber and to the photodetector at the receiver; tuning the opticalfilter to remove artifacts not from the radio frequency and effectivelysuppress intermodulation distortion of the phase modulated signal;filtering the phase modulated light in the optical filter; providing thefiltered phase modulated light to the photodetector; and producing aradio frequency signal output from the photodetector with suppressedintermodulation distortion spurious terms.
 2. The method of claim 1,wherein the providing the phase modulator comprises providing abias-free phase modulator and wherein the providing the optical filtercomprises providing a multi stage tunable optical filter.
 3. The methodof claim 1, wherein the providing the optical filter comprises providinga tunable optical filter.
 4. The method of claim 1, wherein theproviding the optical filter comprises providing a tunablereconfigurable filter.
 5. The method of claim 1, wherein the providingthe optical filter comprises providing a tunable and reconfigurableoptical filter.
 6. The method of claim 1, wherein the providing theoptical filter comprises providing an optical delay line filter havingphase shifter stages with at least one coupler between stages andoptical waveguides connected to the coupler.
 7. The method of claim 1,wherein the providing the optical filter comprises providing pluraltunable couplers, providing optical waveguides connected between thetunable couplers, and providing tunable phase shifters connected betweenthe tunable couplers, and selectively coupling the tunable phaseshifters with the tunable couplers.
 8. The method of claim 7, whereinthe providing optical waveguides comprises providing the opticalwaveguides connected in parallel branches between the tunable couplers,and wherein the tunable phase shifters are connected in one of theparallel branches.
 9. The method of claim 7, wherein the providingoptical waveguides further comprises connecting the optical waveguidesin parallel branches between the tunable couplers, and connecting thetunable phase shifters in first branches of the parallel branches andconnecting distinct tunable phase shifters in second branches of theparallel branches.
 10. The method of claim 7, further comprisingproviding the tunable phase shifters mounted on a two stage Fourierfilter chip and providing first parts of the optical waveguides mountedon the filter chip, and providing second parts of the optical waveguidesmounted on connected substrates and connecting the first and secondparts of the optical waveguides.
 11. The method of claim 1, wherein theoptical filter comprises transfer characteristics reconfigured tosuppress distortion signals formed by modulation/demodulation processduring conversion of the radio frequency signals to optical signals andback to the radio frequency signals.
 12. The method of claim 1, whereinthe optical filter is a reconfigurable multi-stage delay-line Fourierfilter for suppressing 3^(rd) order intermodulation distortion and forimproving Spurious-free dynamic-range of radio frequency fiber-opticlink.
 13. Electro-optical fiber optic link apparatus, comprising: aremote site; an antenna at the remote site for receiving radio frequencysignals with the antenna; a phase modulator at the remote site; aconnection between the phase modulator and the antenna for providing theradio frequency signals from the antenna to the phase modulator at theremote site; an electronics bay at a distance from the remote site; areceiver in the electronics bay; a laser; a first optical fiberextending between the laser and the remote site; the laser connected tothe first optical fiber for directing light from the laser into andthrough the first optical fiber to the phase modulator at the remotesite and phase modulating of the light by the radio frequency signalsfrom the antenna; an optical filter at the receiver in the electronicsbay; a second optical fiber extending between the phase modulator andthe optical filter; for transmitting the phase modulated light from thephase modulator to the optical filter and for filtering the phasemodulated light in the optical filter to convert the phase modulatedsignal into an intensity modulated signal and to suppressintermodulation distorted spurious signals from the phase modulatedsignal from the antenna; a photodetector at the electronics bay incommunication with the optical filter for providing the filtered phasemodulated light to the photodetector; and a radio frequency signaloutput produced from the photodetector.
 14. The apparatus of claim 13,wherein the phase modulator comprises a bias-free phase modulator andwherein the optical filter is a multi stage tunable optical filter. 15.The apparatus of claim 13, wherein the optical filter comprises atunable optical filter.
 16. The apparatus of claim 13, wherein theoptical filter comprises a tunable reconfigurable filter.
 17. Theapparatus of claim 13, wherein the optical filter comprises a tunableand reconfigurable optical filter.
 18. The apparatus of claim 13,wherein the optical filter comprises an optical delay line filter havingphase shifter stages with at least one coupler between stages andoptical waveguides connected to the coupler.
 19. The apparatus to claim13, wherein the optical filter comprises plural tunable couplers,optical waveguides connected between the tunable couplers, and tunablephase shifters connected between the tunable couplers.
 20. The apparatusof claim 19, wherein the optical waveguides are connected in parallelbranches between the tunable couplers, and wherein the tunable phaseshifters are connected in one of the parallel branches.
 21. Theapparatus of claim 19, wherein optical waveguides are connected inparallel branches between the tunable couplers, and wherein the tunablephase shifters are connected in first branches of the parallel branchesand distinct tunable phase shifters are connected in second branches ofthe parallel branches.
 22. The apparatus of claim 19, wherein thetunable phase shifters are mounted on a two stage Fourier filter chipand first parts of optical waveguides connected to the tunable couplersand the tunable phase shifters are mounted on the filter chip, andsecond parts of the optical waveguides are mounted on connectedsubstrates and are connected to the first parts of the opticalwaveguides.
 23. The apparatus of claim 19, wherein the tunable phaseshifters and tunable couplers are fabricated on electro-optical materialand the waveguides are fabricated using unequal-length optical fiberdifferential delay-line pairs.
 24. The apparatus of claim 19, whereinthe tunable phase shifters and tunable couplers are fabricated onelectro-optical material and the waveguides are fabricated usingunequal-length optical waveguide differential delay-line pairs.
 25. Theapparatus of claim 19, wherein the tunable phase shifters and tunablecouplers and the waveguides are fabricated on electro-optical material.26. The apparatus of claim 13, wherein the optical filter comprises amulti-stage tunable and reconfigurable optical filter fabricated onelectro-optic material, so that it can be effectively fine-tuned andused to cancel intermodulation distortion signals of a phase-modulatedRF fiber-optic link to achieve Spurious-free dynamic-range.
 27. Theapparatus of claim 13, wherein the optical filter is a tunablereconfigurable optical filter with transfer characteristics reconfiguredto suppress distortion signals formed from modulation/demodulation bythe phase modulator during the conversion of the radio frequency signalsto optical signals and back to the radio frequency signals.
 28. Theapparatus of claim 13, wherein the optical filter is a reconfigurablemulti-stage delay-line Fourier filter for suppressing 3^(rd) orderintermodulation distortion and for improving Spurious-free dynamic-rangeof radio frequency fiber-optic link.